Supreme Court nominee Brett Kavanaugh said Monday he would be willing to testify to Congress about a California woman's allegation that he sexually assaulted her in high school, calling her claims "completely false."

“I have never done anything like what the accuser describes — to her or to anyone," Kavanaugh said in a statement released by the White House. "Because this never happened, I had no idea who was making this accusation until she identified herself yesterday."

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"I am willing to talk to the Senate Judiciary Committee in any way the Committee deems appropriate to refute this false allegation, from 36 years ago, and defend my integrity," he said.

The statement comes after the woman, Christine Blasey Ford, went public in an interview with the Washington Post published Sunday. Ford offered details to the Post about the alleged assault, which she said she believes occurred in 1982, when she was 15 and Kavanaugh was 17. Ford, who is now a research psychologist in northern California, said it "derailed me substantially for four or five years."

Ford’s lawyer, Debra Katz, said Monday that Ford would be willing to testify to Congress but that no lawmakers have asked her to do so yet.

"My client will do whatever is necessary to make sure that the Senate Judiciary Committee has the full story and the full set of allegations to allow them to make a fully informed decision," Katz said on “CBS This Morning.”